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Finding the Third Proportional to 489,758.63 and 756,802.13

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Solution

The third proportional to 489,758.63 and 756,802.13 is: 1,169,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,758.63 : 756,802.13 = 756,802.13 : x
  2. Step 2: Convert to fraction form
    489,758.63/756,802.13 = 756,802.13/x
  3. Step 3: Cross multiply
    489,758.63x = 756,802.13 × 756,802.13
  4. Step 4: Simplify right side
    489,758.63x = 572,749,456,404.52
  5. Step 5: Solve for x
    x = 572,749,456,404.52/489,758.63
  6. Step 6: Final answer
    x = 1,169,452.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.